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arXiv 2009.02203hep-thgr-qchep-ph
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超对称破缺的$α$吸引子

$α$-attractors from supersymmetry breaking

Yermek Aldabergenov, Auttakit Chatrabhuti, Hiroshi Isono

摘要:

我们在de Sitter真空中构造了新的暴胀和自发超对称破缺模型,其中暴胀子是Goldstino的超伴子。我们的方法是基于双曲Kähler几何,和规范(非轴)$U(1)_R$对称旋转的手征标量场的相位。$U(1)_R$规范场与手征标量的角分量结合形成一个质量矢量,单场暴胀由标量的径向部分驱动。我们发现,在一定的参数范围内,它们可以近似为最简单的Starobinsky(E-模型)$α$ -吸引子,从而预测$n_s$和$r$ $1σ$ CMB约束。超对称性(和$R$ -对称性)在引力子质量为$m_{3/2}\gtrsim 10^{14}$ GeV的高尺度下被打破,费米子扇区也包括一个重自旋$1/2$场。在所有考虑的情况下,暴胀子是模型中最轻的场。

英文摘要:

We construct new models of inflation and spontaneous supersymmetry breaking in de Sitter vacuum, with a single chiral superfield, where inflaton is the superpartner of the goldstino. Our approach is based on hyperbolic Kähler geometry, and a gauged (non-axionic) $U(1)_R$ symmetry rotating the chiral scalar field by a phase. The $U(1)_R$ gauge field combines with the angular component of the chiral scalar to form a massive vector, and single-field inflation is driven by the radial part of the scalar. We find that in a certain parameter range they can be approximated by simplest Starobinsky-like (E-model) $α$-attractors, thus predicting $n_s$ and $r$ within $1σ$ CMB constraints. Supersymmetry (and $R$-symmetry) is broken at a high scale with the gravitino mass $m_{3/2}\gtrsim 10^{14}$ GeV, and the fermionic sector also includes a heavy spin-$1/2$ field. In all the considered cases the inflaton is the lightest field of the model.

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